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Finding the Third Proportional to 339,320,285,463 and 738,215,084,994

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Solution

The third proportional to 339,320,285,463 and 738,215,084,994 is: 1,606,038,704,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,463 : 738,215,084,994 = 738,215,084,994 : x
  2. Step 2: Convert to fraction form
    339,320,285,463/738,215,084,994 = 738,215,084,994/x
  3. Step 3: Cross multiply
    339,320,285,463x = 738,215,084,994 × 738,215,084,994
  4. Step 4: Simplify right side
    339,320,285,463x = 544,961,511,712,698,641,940,480
  5. Step 5: Solve for x
    x = 544,961,511,712,698,641,940,480/339,320,285,463
  6. Step 6: Final answer
    x = 1,606,038,704,609.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.